… about the asymptotics of the Ray–Singer torsion of self-adjoint … the comparison of Ray–Singer
and Reidemeister torsion, can … torsion, at least for odd dimensional manifolds, up to sign. …

… In the spirit of Ray and Singer we define a complex-valued analytic torsion using non-…
Conjecturally this analytically defined invariant computes the complex-valued Reidemeister torsion…

… fundamental group Γ , the refined torsion is a complex valued, holomorphic function defined
for … absolute value of the refined torsion is equal to the Ray–Singer torsion, while its phase is …

… torsion and is not related to the Atiyah–Patodi–Singer η-… –Haller torsion in terms of the
refined analytic torsion and the … analytic torsion can be viewed as a complex-valued function, …

… In order to define the complex-valued Ray–Singer torsion, we assume E admits a fiberwise
nondegenerate symmetric bilinear form b and we proceed as in [4]. The bilinear form b and …

… the complex-valued Ray–Singer torsion, the Milnor–Turaev torsion, and the dynamical torsion…
As particular cases of our torsion, we recognize familiar rational functions in topology such …

… In this paper the celebrated work of Ray and Singer [32, 33] on analytic torsion for Riemannian
and complex Hermitian manifolds is generalized to two natural geometrical settings, one …

… They defined a complex valued quadratic form τb,∇ on the determinant line Det (H•(M,E)).
Then they defined a complex valued quadratic form, referred to as complex Ray-Singer torsion…

… , we define a refinement Tα of the Ray-Singer torsion associated to α, which can be
viewed as the … These operators are non self-adjoint and have complex-valued zeta-regularized …

… line bundle which vanishes on $\mathcal{D}_{\infty}$ and has a Quillen norm the Ray
Singer Analytic Torsion$.$ This section is that analogue of the Dedekind eta Function $\eta.$ …